Finding the Third Proportional to 274,610.50 and 413,320

Step by Step Solution

1. Step 1: Write the proportion equation
   274,610.50 : 413,320 = 413,320 : x
2. Step 2: Convert to fraction form
   274,610.50/413,320 = 413,320/x
3. Step 3: Cross multiply
   274,610.50x = 413,320 × 413,320
4. Step 4: Simplify right side
   274,610.50x = 170,833,422,400
5. Step 5: Solve for x
   x = 170,833,422,400/274,610.50
6. Step 6: Final answer
   x = 622,093.56